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An exponential family of median based estimators for mean estimation with simple random sampling scheme

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  • Usman Shahzad
  • Nadia H. Al-Noor
  • Muhammad Hanif
  • Irsa Sajjad

Abstract

Recently, Irfan et al. developed ratio-type estimators for population mean estimation with simple random sampling (SRS) scheme, based on known median of a study variable and an auxiliary (supplementary) variable. In this study, adapting the structure of Koyuncu, we propose a new class of exponential-type estimators, based on the known median of study variable with the SRS scheme. The theoretical mean square error (MSE) expressions of the new proposals up to the first order of approximation are determined. A numerical study is done in support of the present work by finding percentage gain in efficiency with the graphical presentation of MSE results.

Suggested Citation

  • Usman Shahzad & Nadia H. Al-Noor & Muhammad Hanif & Irsa Sajjad, 2021. "An exponential family of median based estimators for mean estimation with simple random sampling scheme," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(20), pages 4890-4899, September.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:20:p:4890-4899
    DOI: 10.1080/03610926.2020.1725828
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    Cited by:

    1. Usman Shahzad & Ishfaq Ahmad & Amelia V. García-Luengo & Tolga Zaman & Nadia H. Al-Noor & Anoop Kumar, 2023. "Estimation of Coefficient of Variation Using Calibrated Estimators in Double Stratified Random Sampling," Mathematics, MDPI, vol. 11(1), pages 1-17, January.

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